12. A block with a mass m = 4.0kg is suspended from a nonlinear spring with f, F, sin(- -) where F = 50N and x = 15mm. Write a single MatLab program which: a) Plots the spring force f, for (-15mm

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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12. A block with a mass m = 4.0kg is suspended from a nonlinear spring with
f₁ = F, sin() where F = 50N and x = 15mm .
Write a single MatLab program which:
a) Plots the spring force f, for (-15mm<x<15mm ) on the same figure.
b) Determine the equilibrium position, x, of the mass.
c) What is the unstretched spring constant (at x=0) ?
d) What is the equivalent spring constant for the stretched spring of b).
e) Plot the equivalent spring constant for any equilibrium position.
g
Answer:
b) x = 13.54mm
c) k, = 3.33 N/mm@x=0
d) k, = 2.07 N/mm@x=13.54mm
Unstretched position
X
Transcribed Image Text:12. A block with a mass m = 4.0kg is suspended from a nonlinear spring with f₁ = F, sin() where F = 50N and x = 15mm . Write a single MatLab program which: a) Plots the spring force f, for (-15mm<x<15mm ) on the same figure. b) Determine the equilibrium position, x, of the mass. c) What is the unstretched spring constant (at x=0) ? d) What is the equivalent spring constant for the stretched spring of b). e) Plot the equivalent spring constant for any equilibrium position. g Answer: b) x = 13.54mm c) k, = 3.33 N/mm@x=0 d) k, = 2.07 N/mm@x=13.54mm Unstretched position X
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